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<a href="_c_p_u_2_spline_interpolation2_d_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="preprocessor">#ifndef SHARK_CORE_IMAGES_CPU_SPLINE_INTERPOLATION_2D_H</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="preprocessor">#define SHARK_CORE_IMAGES_CPU_SPLINE_INTERPOLATION_2D_H</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span> </div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="preprocessor">#include &lt;<a class="code" href="_base_8h.html">shark/LinAlg/Base.h</a>&gt;</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="preprocessor">#include &lt;<a class="code" href="_shape_8h.html">shark/Core/Shape.h</a>&gt;</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="preprocessor">#include &lt;<a class="code" href="_open_m_p_8h.html">shark/Core/OpenMP.h</a>&gt;</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a>{</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="keyword">namespace </span>image{</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00010" data-start="{" data-end="}">
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="namespaceshark_1_1image.html#a13e9df3ca5604c9ff68d46a22c55378c">   10</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceshark_1_1image.html#a13e9df3ca5604c9ff68d46a22c55378c">splineInterpolation2D</a>(</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; images, </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span>    <a class="code hl_class" href="classshark_1_1_shape.html" title="Represents the Shape of an input or output.">Shape</a> <span class="keyword">const</span>&amp; shape,</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; points, std::size_t pointsPerImage, </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span>    blas::dense_matrix_adaptor&lt;T, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; values</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span>){</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span>    std::size_t height = shape[0];</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span>    std::size_t width = shape[1];</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span>    std::size_t numChannels = shape[2];</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span>    std::size_t stride = (pointsPerImage == points.size1())? 0: pointsPerImage;</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span>    </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span>    values.clear();</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span>    </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span>    <a class="code hl_define" href="_open_m_p_8h.html#a8a63d79e2c3625260e6092d933f21a98" title="Set of macros to help usage of OpenMP with Shark.">SHARK_PARALLEL_FOR</a>(<span class="keywordtype">int</span> im = 0; im &lt; (int)images.size1(); ++im){</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span>        <span class="keyword">auto</span> image = to_matrix(row(images,im), width * height, numChannels);</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span>        <span class="keyword">auto</span> v = to_matrix(row(values,im), pointsPerImage, numChannels);</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span>        <span class="keywordflow">for</span>(std::size_t p = 0; p != pointsPerImage; ++p){</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span>            std::size_t pointIdx = p + im * stride;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span>            <span class="keyword">using </span>std::min; <span class="keyword">using </span>std::max;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span>            T basex = std::floor(points(pointIdx,1) * width);</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>            T t=points(pointIdx, 1) * width - basex;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>            T t2=t*t;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>            T t3=t2*t;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>            T x[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>            std::size_t px[4]={</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex-1,0),width-1),</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basex,width-1),0),</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex+1,0),width-1),</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basex+2,width-1),0)</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>            };</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>            </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>            T basey = std::floor(points(pointIdx,0) * height);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>            t=points(pointIdx, 0) * height - basey;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>            t2=t*t;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>            t3=t2*t;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>            T y[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>            std::size_t py[4]={</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey-1,0),height-1),</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basey,height-1),0),</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey+1,0),height-1),</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basey+2,height-1),0)</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>            };</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>            <span class="keywordflow">for</span>(std::size_t k = 0;k &lt; 4; k++){</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>                <span class="keywordflow">for</span>(std::size_t l = 0;l &lt; 4; l++){</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>                    std::size_t index = px[l] + width * py[k];</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>                    noalias(row(v,p)) += (x[l]*y[k]/36) * row(image,index);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>                }</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>            }</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>        }</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>    }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>}</div>
</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="namespaceshark_1_1image.html#a20410ad420d9a010bfe6fc48cc8237fd">   65</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceshark_1_1image.html#a13e9df3ca5604c9ff68d46a22c55378c">splineInterpolation2D</a>(</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; images, </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>    <a class="code hl_class" href="classshark_1_1_shape.html" title="Represents the Shape of an input or output.">Shape</a> <span class="keyword">const</span>&amp; shape,</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; points, std::size_t pointsPerImage, </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>    blas::dense_matrix_adaptor&lt;T, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; values,</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>    blas::dense_matrix_adaptor&lt;T, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; valuesdx,</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>    blas::dense_matrix_adaptor&lt;T, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; valuesdy</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>){</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>    std::size_t height = shape[0];</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>    std::size_t width = shape[1];</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>    std::size_t numChannels = shape[2];</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>    std::size_t stride = (pointsPerImage == points.size1())? 0: pointsPerImage;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>    </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>    values.clear();</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    valuesdx.clear();</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>    valuesdy.clear();</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>    <a class="code hl_define" href="_open_m_p_8h.html#a8a63d79e2c3625260e6092d933f21a98" title="Set of macros to help usage of OpenMP with Shark.">SHARK_PARALLEL_FOR</a>(<span class="keywordtype">int</span> im = 0; im &lt; (int)images.size1(); ++im){</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>        <span class="keyword">auto</span> image = to_matrix(row(images,im), width * height, numChannels);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>        <span class="keyword">auto</span> v = to_matrix(row(values,im), pointsPerImage, numChannels);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>        <span class="keyword">auto</span> vdx = to_matrix(row(valuesdx,im), pointsPerImage, numChannels);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        <span class="keyword">auto</span> vdy = to_matrix(row(valuesdy,im), pointsPerImage, numChannels);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>        <span class="keywordflow">for</span>(std::size_t p = 0; p != points.size1(); ++p){</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>            std::size_t pointIdx = p + im * stride;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>            <span class="keyword">using </span>std::min; <span class="keyword">using </span>std::max;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>            T basex = std::floor(points(pointIdx,1) * width);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>            T t=points(pointIdx, 1) * width - basex;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>            T t2=t*t;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>            T t3=t2*t;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span> </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>            T x[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>            T dxdt[4]={-3*t2+6*t-3, 9*t2-12*t, -9*t2+6*t+3,  3*t2};</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>            std::size_t px[4]={</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex-1,0),width-1),</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basex,width-1),0),</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex+1,0),width-1),</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basex+2,width-1),0)</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>            };</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>            </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>            T basey = std::floor(points(pointIdx,0) * height);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>            t=points(pointIdx, 0) * height - basey;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>            t2=t*t;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>            t3=t2*t;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>            T y[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>            T dydt[4]={-3*t2+6*t-3, 9*t2-12*t, -9*t2+6*t+3,  3*t2};</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>            std::size_t py[4]={</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey-1,0),height-1),</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basey,height-1),0),</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey+1,0),height-1),</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basey+2,height-1),0)</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>            };</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>            </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>            <span class="keywordflow">for</span>(std::size_t k = 0;k &lt; 4; k++){</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>                <span class="keywordflow">for</span>(std::size_t l = 0;l &lt; 4; l++){</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>                    std::size_t index = px[l] + width * py[k];</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>                    T vdI =x[l]*y[k]/36;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>                    T dfdx1 = dxdt[l] * y[k]/36;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>                    T dfdx2 = x[l] * dydt[k]/36;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>                    </div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>                    noalias(row(v,p)) += vdI * row(image,index);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>                    noalias(row(vdx,p)) += dfdx1 * row(image,index);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>                    noalias(row(vdy,p)) += dfdx2 * row(image,index);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>                }</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>            }</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>        }</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>    }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>}</div>
</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00133" data-start="{" data-end="}">
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="namespaceshark_1_1image.html#addbd7da84af694575bf39f2c39e277b7">  133</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceshark_1_1image.html#addbd7da84af694575bf39f2c39e277b7">splineInterpolation2DDerivative</a>(</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; imageDerivatives, </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>    <a class="code hl_class" href="classshark_1_1_shape.html" title="Represents the Shape of an input or output.">Shape</a> <span class="keyword">const</span>&amp; shape,</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    blas::dense_matrix_adaptor&lt;T const, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; points, std::size_t pointsPerImage, </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>    blas::dense_matrix_adaptor&lt;T, blas::row_major, blas::continuous_dense_tag, blas::cpu_tag&gt; results</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>){</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>    std::size_t height = shape[0];</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>    std::size_t width = shape[1];</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>    std::size_t numChannels = shape[2];</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>    std::size_t stride = (pointsPerImage == points.size1())? 0: pointsPerImage;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>    </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>    results.clear();</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>    </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>    <a class="code hl_define" href="_open_m_p_8h.html#a8a63d79e2c3625260e6092d933f21a98" title="Set of macros to help usage of OpenMP with Shark.">SHARK_PARALLEL_FOR</a>(<span class="keywordtype">int</span> im = 0; im &lt; (int)imageDerivatives.size1(); ++im){</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        <span class="keyword">auto</span> imageDer = to_matrix(row(imageDerivatives,im), pointsPerImage, numChannels);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>        <span class="keyword">auto</span> result = to_matrix(row(results,im), width * height, numChannels);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>        <span class="keywordflow">for</span>(std::size_t p = 0; p != points.size1(); ++p){</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>            std::size_t pointIdx = p + im * stride;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>            <span class="keyword">using </span>std::min; <span class="keyword">using </span>std::max;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>            T basex = std::floor(points(pointIdx,1) * width);</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>            T t=points(pointIdx, 1) * width - basex;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>            T t2=t*t;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>            T t3=t2*t;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>            T x[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>            std::size_t px[4]={</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex-1,0),width-1),</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basex,width-1),0),</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basex+1,0),width-1),</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basex+2,width-1),0)</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>            };</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>            </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>            T basey = std::floor(points(pointIdx,0) * height);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>            t=points(pointIdx, 0) * height - basey;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>            t2=t*t;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>            t3=t2*t;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span> </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>            T y[4]={-t3+3*t2-3*t+1, 3*t3-6*t2+4, -3*t3+3*t2+3*t+1,  t3};</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>            std::size_t py[4]={</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey-1,0),height-1),</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>                (std::size_t)max&lt;T&gt;(min&lt;T&gt;(basey,height-1),0),</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>                (std::size_t)min&lt;T&gt;(max&lt;T&gt;(basey+1,0),height-1),</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>                (std::size_t) max&lt;T&gt;(min&lt;T&gt;(basey+2,height-1),0)</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>            };</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>            <span class="keywordflow">for</span>(std::size_t k = 0;k &lt; 4; k++){</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>                <span class="keywordflow">for</span>(std::size_t l = 0;l &lt; 4; l++){</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>                    std::size_t index = px[l] + width * py[k];</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>                    T vdI = x[l]*y[k]/36;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>                    noalias(row(result,index)) += vdI * row(imageDer,p);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>                }</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>            }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>        }</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>    }</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>}</div>
</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>}}</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span><span class="preprocessor">#endif</span></div>
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